3434064480 has 288 divisors, whose sum is σ = 14610855168. Its totient is φ = 713548800.

The previous prime is 3434064451. The next prime is 3434064521. The reversal of 3434064480 is 844604343.

3434064480 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 0 + 644 + 8 + 0 = 666.

3434064480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95395 + ... + 126365.

It is an arithmetic number, because the mean of its divisors is an integer number (50732136).

Almost surely, 2^3434064480 is an apocalyptic number.

3434064480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305427584).

3434064480 is an abundant number, since it is smaller than the sum of its proper divisors (11176790688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3434064480 is a wasteful number, since it uses less digits than its factorization.

3434064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31010 (or 30999 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3434064480 is about 58600.8914607961. The cubic root of 3434064480 is about 1508.6997388158.

The spelling of 3434064480 in words is "three billion, four hundred thirty-four million, sixty-four thousand, four hundred eighty".